Results 41 to 50 of about 511 (181)
The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
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Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function
The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using
Alb Lupaş Alina, Oros Georgia Irina
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Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations
The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination.
Alina Alb Lupaş
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On some classes of meromorphic functions defined by subordination and superordination [PDF]
Let \(p\in \mathbb{N}^*\) and \(\beta,\gamma\in \mathbb{C}\) with \(\beta\neq 0\) and let \(\Sigma_p\) denote the class of meromorphic functions of the form \(g(z)=\frac{a_{-p}}{z^p}+a_0+a_1 z+\ldots,\,z\in \dot U\), \(a_{-p}\neq 0\).
Alina Totoi
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In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.
Huda Fawzi Isawi, Abdul Rahman S. Juma
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Strong Differential Superordination Results Involving Extended Sălăgean and Ruscheweyh Operators
The notion of strong differential subordination was introduced in 1994 and the theory related to it was developed in 2009. The dual notion of strong differential superordination was also introduced in 2009.
Georgia Irina Oros, Alina Alb Lupaş
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SHARE: A superordinate online rural community [PDF]
AbstractComprehensive School Reform in Rural K‐8 Schools in the Southeast: Integrative Technologies for Quality Initiatives is a three‐year technology intervention funded by the US Department of Education. As part of this project, teachers in eight rural K‐8 schools in Georgia, Florida, and Alabama were given access to an online community Web‐portal ...
Janet Capps +3 more
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There are many articles in the literature dealing with the first-order and the second-order differential subordination and superordination problems for analytic functions in the unit disk, but only a few articles are dealing with the above problems in ...
Huo Tang +3 more
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A Class of Symmetric Fractional Differential Operator Formed by Special Functions
In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina’s function is built. The generalized operator is then used to create a formula for analytic functions of type normalized.
Ibtisam Aldawish +2 more
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